| 一类二阶方程的解的收敛性 |
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| 引用本文： | 郑观宝,蒋继发.一类二阶方程的解的收敛性[J].高校应用数学学报(A辑),1995(1):81-86. |
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| 作者姓名： | 郑观宝 蒋继发 |
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| 作者单位： | 安徽师范大学，中国科学技术大学 |
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| 摘 要： | 本文研究一类二阶常微分方程解的渐近性态，假设方程具有正阻尼及适当保证所有解有界的条件成立，我们证明了每个解收敛于奇点，该结果能够用于系统的奇点集是不可数的情形。
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| 关 键 词： | 奇点 收敛性 常微分方程 解 |
ON CONVERGENCE OF SOLUTIONS FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS |
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| Zheng Guanbao.ON CONVERGENCE OF SOLUTIONS FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS[J].Applied Mathematics A Journal of Chinese Universities,1995(1):81-86. |
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| Authors: | Zheng Guanbao |
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| Abstract: | This paper investigates the asymptotic behavior of a class of second order differential equations.Assume that the damping of the system considered is positive and the suitable conditions to ensure the boundedness of all solutions held.We prove that every solution is convergent to an equilibrium. This result can be applied to the system possessing uncountable equilibria. |
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| Keywords: | Second Order Differential Equation Equilibrium Convergence |
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